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Table 2.

Parameters for PSR J1528−3146 from the timing analysis, and derived quantities.

Observation and data reduction parameters
Span of timing data (MJD) 52179–59725
Number of TOAs 13 478
Reference epoch (MJD) 56 000
Time scale TCB
Solar system ephemeris DE438
Solar wind electron number density, n0 (cm−3) 4
Weighted rms residual (μs) 9.245
Reduced χ2 0.993

Astrometric, spin and dispersion parameters

Right ascension, α (J2000) 15:28:34.95312 (6)
Declination, δ (J2000) −31:46:06.866 (2)
Proper motion in α, μα (mas yr−1) −1.39 (9)
Proper motion in δ, μδ (mas yr−1) −3.7 (2)
Spin frequency, ν (Hz) 16.4413566796379 (11)
Spin frequency first derivative, (10−17 Hz s−1) −6.7175 (9)
Spin frequency second derivative, (10−28 Hz s−2) 2.8 (6)
Dispersion measure, DM (cm−3 pc) 18.159 (a)
Rotation measure, RM (rad m−2) −19 (1) (b)

Binary parameters

Orbital model DDH
Orbital period, Pb (days) 3.1803502 (2)
Projected semi-major axis of the pulsar orbit, x (lt-s) 11.452301 (11)
Epoch of periastron, T0 (MJD) 56000.7860 (3)
Orbital eccentricity, e 0.0002137 (2)
Longitude of periastron, ω (°) 297.30 (4)
Rate of advance of periastron, (° yr−1) 0.057 (3)
Rate of change of orbital semi-major axis, (10−15 lt-s s−1) −2.6 (1.9)
Orthometric amplitude of the Shapiro delay, h3 (μs) 1.2 (1)
Orthometric ratio of the Shapiro delay, ς 0.44 (8)

Derived parameters

Galactic longitude, l (°) 337.9386445
Galactic latitude, b (°) 20.2167420
Total transverse proper motion, μT (mas yr−1) 3.9 (2)
Position angle of proper motion (J2000), Θμ (°) 200.8 (1.8)
DM-derived distance (NE2001), d (kpc) 0.8(2) (c)
DM-derived distance (YWM16), d (kpc) 0.8(2) (c)
Mass function, f (M) 0.1594451 (5)
Spin period, P (ms) 60.822231369658 (4)
Apparent spin period derivative, (10−19 s s−1) 2.4850 (3)
Total kinematic contribution to spin period derivative, Δ (10−21 s s−1) 1.2 (3) (d)
Intrinsic spin period derivative (int) (10−19 s s−1) 2.473 (3)
Spin-down power, Ė (1031 erg s−1) 4.340 (5) (e)
Surface magnetic field strength, Bsurf (109 G) 3.928 (2) (e)
Characteristic age, τc (109 yr) 3.896 (5) (e)
Pulsar mass, Mp (M) (f)
Companion mass, Mc (M) (f)

Notes. Numbers in parentheses are the nominal 1σ statistical uncertainties on the last quoted digits.


DM variations were modeled using piecewise-constant deviations around this value, as enabled by the “DMX” model of Tempo2.


Obtained using the RMcalc program, see Sect. 3 for details.


Distances estimated using the NE2001 (Cordes & Lazio 2002) and YMW16 (Yao et al. 2017) models, assuming a 20% uncertainty.


Contributions from the Shklovskii effect (Shklovskii 1970) and from the differential Galactic acceleration, as calculated using the GalPot model (McMillan 2017; Dehnen & Binney 1998). The uncertainty quoted here corresponds to the maximum excursion from the central value, when varying the pulsar distance by ±20%.


See Lorimer & Kramer (2012) for definitions.


Determined from a Bayesian analysis of the timing data, see Sect. 4.3 for details.

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